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Finding the Fourth Proportional to 10,230.38, 14,119.13 and 5,754.30

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Solution

The fourth proportional to 10,230.38, 14,119.13 and 5,754.30 is: 7,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.38 : 14,119.13 = 5,754.30 : x
  2. Step 2: Convert to fraction form
    10,230.38/14,119.13 = 5,754.30/x
  3. Step 3: Cross multiply
    10,230.38x = 14,119.13 × 5,754.30
  4. Step 4: Simplify right side
    10,230.38x = 81,245,709.76
  5. Step 5: Solve for x
    x = 81,245,709.76/10,230.38
  6. Step 6: Final answer
    x = 7,941.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.